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352454202145160 = 235411036563317921
BaseRepresentation
bin101000000100011100010001…
…1100001001011100110001000
31201012221021220100102100001122
41100020320203201023212020
5332144102201222121120
63245335120350534412
7134144655460230143
oct12010704341134610
91635837810370048
10352454202145160
11a2336a95715685
1233643b9b207408
131218839a21741b
146306c3551705a
152ab32215dea25
hex1408e2384b988

352454202145160 has 128 divisors (see below), whose sum is σ = 820378543944960. Its totient is φ = 136186551091200.

The previous prime is 352454202145139. The next prime is 352454202145169. The reversal of 352454202145160 is 61541202454253.

It is a super-2 number, since 2×3524542021451602 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (352454202145169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1108463000 + ... + 1108780920.

It is an arithmetic number, because the mean of its divisors is an integer number (6409207374570).

Almost surely, 2352454202145160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352454202145160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410189271972480).

352454202145160 is an abundant number, since it is smaller than the sum of its proper divisors (467924341799800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

352454202145160 is a wasteful number, since it uses less digits than its factorization.

352454202145160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324639 (or 324635 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 44.

The spelling of 352454202145160 in words is "three hundred fifty-two trillion, four hundred fifty-four billion, two hundred two million, one hundred forty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 82 103 164 205 206 328 410 412 515 820 824 1030 1640 2060 4120 4223 6563 8446 13126 16892 21115 26252 32815 33784 42230 52504 65630 84460 131260 168920 262520 269083 317921 538166 635842 675989 1076332 1271684 1345415 1351978 1589605 2152664 2543368 2690830 2703956 3179210 3379945 5381660 5407912 6358420 6759890 10763320 12716840 13034761 13519780 26069522 27039560 27715549 32745863 52139044 55431098 65173805 65491726 104278088 110862196 130347610 130983452 138577745 163729315 221724392 260695220 261966904 277155490 327458630 521390440 554310980 654917260 1108621960 1309834520 1342580383 2086515523 2685160766 4173031046 5370321532 6712901915 8346062092 10432577615 10740643064 13425803830 16692124184 20865155230 26851607660 41730310460 53703215320 83460620920 85547136443 171094272886 214911098869 342188545772 427735682215 429822197738 684377091544 855471364430 859644395476 1074555494345 1710942728860 1719288790952 2149110988690 3421885457720 4298221977380 8596443954760 8811355053629 17622710107258 35245420214516 44056775268145 70490840429032 88113550536290 176227101072580 352454202145160